The 23-lb cylinder is at rest on the horizontal surface when a tension P =17 lb is applied to the end of the cable which is wrapped securely around it, and the cylinder rolls without slipping on the surface. The radius of the cylinder is 2 ft and its moment of inertia about its mass center O is 9 lb-ft- sec?. Determine the magnitude of the friction force acting on the cylinder. Give your answer in Ib.
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- A cord is wrapped around the rim of a wheel 0.225 m in radius, and a steady pull of 41.5 N is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.50 kg m² 世 Provh A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m. (in m/s) = 20 degrees; A: 3.356 OB: 3.926 OC: 4.594 OD: 5.375 OE: 6.288 OF: 7.357 OG: 8.608 OH: 1.007x10¹A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M ( 4.0 kg) to a mass m2 (2.0 kg) sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25 cm and a moment of inertia of 2 MR2. The angle is 60 degrees, then what is the Ma Scceleration of m1? m1
- Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be frictionless, but the coefficient of friction between the block and the surface is 0.36. What is the acceleration of the blocks? Assume the 24 kg mass is descending with acceleration a. The moment of inertia of the disk is 1/2MR2 and the acceleration of gravity is 9.8 m/s2.A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.
- A spherical object has a(n) 70.9 m diame- ter. Its moment of inertia about a diameter is I = fMR2, where M is its mass, R is its radius, and f = 0.579. Starting from rest, how long will it take this object to roll without slipping 14.18 m down an incline that makes an angle of 29.3° with the horizontal? The acceleration of gravity is 9.8 m/s². Answer in units of s.Problem 2: A hollow sphere of mass M and radius R rolls without slipping up a rough incline that makes an angle with the horizontal. Find the magnitude of the linear acceleration a of the center of mass of the sphere. α= α= a=39-sin-sine 59 3 59 cos e α M a = 3g sin 0 R 5 D 79 a = g sin 0A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.
- A string holds and wraps around a solid cylinder (7-kg and R = 3-m). A person pulls the string vertically upward, so the cylinder’s center of gravity does not move and is suspended in midair for 3 second. Note that the rotational inertia of the cylinder about its axis is MR2/2, the tension in the string is 3-N. what is the net force on the cylinder in Newton?What is the moment of inertia of an object that rolls without slipping down a 2.00-m-high incline starting from rest, and has a final velocity of 6.00 m/s? Express the moment of inertia as a multiple of MR2 , where M is the mass of the object and R is its radius.